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Simplifying 5(x + -3) + 3(x + -7) = 28 Reorder the terms: 5(-3 + x) + 3(x + -7) = 28 (-3 * 5 + x * 5) + 3(x + -7) = 28 (-15 + 5x) + 3(x + -7) = 28 Reorder the terms: -15 + 5x + 3(-7 + x) = 28 -15 + 5x + (-7 * 3 + x * 3) = 28 -15 + 5x + (-21 + 3x) = 28 Reorder the terms: -15 + -21 + 5x + 3x = 28 Combine like terms: -15 + -21 = -36 -36 + 5x + 3x = 28 Combine like terms: 5x + 3x = 8x -36 + 8x = 28 Solving -36 + 8x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 8x = 28 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 28 + 36 8x = 28 + 36 Combine like terms: 28 + 36 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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